The funny thing is, for most manufacturers, the only difference between the primer and cement is PVC. PVC cement is just primer with 10-20% PVC resin dissolved in it (and a small amount of fumed silica). I don't see how primer could make a weaker solvent weld. Its just used to clean the surface. I don't know if they use mold release agent in the manufacture of PVC Pipe, but that could be another reason.